{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "7b7610a9",
   "metadata": {},
   "source": [
    "## Generating Strategy Performance and Return Analytics"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "95bcf0d5",
   "metadata": {},
   "outputs": [],
   "source": [
    "import warnings"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "ce181da1",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import pyfolio as pf\n",
    "from IPython.display import Markdown, display\n",
    "from openbb import obb"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "9f3cd6e0",
   "metadata": {},
   "outputs": [],
   "source": [
    "warnings.filterwarnings(\"ignore\")\n",
    "obb.user.preferences.output_type = \"dataframe\""
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5fd158c0",
   "metadata": {},
   "source": [
    "Load the mean reversion performance data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "7f3f200f",
   "metadata": {},
   "outputs": [],
   "source": [
    "perf = pd.read_pickle(\"mean_reversion.pickle\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b57ae04e",
   "metadata": {},
   "source": [
    "Extract returns, positions, and transactions from Zipline performance DataFrame"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "7e5838c5",
   "metadata": {},
   "outputs": [],
   "source": [
    "returns, positions, transactions = pf.utils.extract_rets_pos_txn_from_zipline(perf)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8dc66cd2",
   "metadata": {},
   "source": [
    "Rename position columns to stock symbols and cash"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "746f38c4",
   "metadata": {},
   "outputs": [],
   "source": [
    "positions.columns = [col.symbol for col in positions.columns[:-1]] + [\"cash\"]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4482e52e",
   "metadata": {},
   "source": [
    "Apply the symbol attribute to the transactions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "87078dbc",
   "metadata": {},
   "outputs": [],
   "source": [
    "transactions.symbol = transactions.symbol.apply(lambda s: s.symbol)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "65967c0d",
   "metadata": {},
   "source": [
    "Get the list of symbols"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "0c2fae4a",
   "metadata": {},
   "outputs": [],
   "source": [
    "symbols = positions.columns[:-1].tolist()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d3401ebc",
   "metadata": {},
   "source": [
    "Get screener data for the symbols"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "d39ab918",
   "metadata": {},
   "outputs": [],
   "source": [
    "screener_data = obb.equity.profile(symbols, provider=\"yfinance\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7e754659",
   "metadata": {},
   "source": [
    "Create a sector map from the screener data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "0acefe69",
   "metadata": {},
   "outputs": [],
   "source": [
    "sector_map = (\n",
    "    screener_data[[\"symbol\", \"sector\"]]\n",
    "    .set_index(\"symbol\")\n",
    "    .reindex(symbols)\n",
    "    .fillna(\"Unknown\")\n",
    "    .to_dict()[\"sector\"]\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e4dee5c2",
   "metadata": {},
   "source": [
    "Get historical price data for SPY"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "2cf8df27",
   "metadata": {},
   "outputs": [],
   "source": [
    "spy = obb.equity.price.historical(\n",
    "    \"SPY\",\n",
    "    start_date=returns.index.min(),\n",
    "    end_date=returns.index.max(),\n",
    "    provider=\"yfinance\",\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a16a98d1",
   "metadata": {},
   "source": [
    "Convert the index to datetime and calculate the benchmark returns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "fba46c5d",
   "metadata": {},
   "outputs": [],
   "source": [
    "spy.index = pd.to_datetime(spy.index)\n",
    "benchmark_returns = spy.close.pct_change()\n",
    "benchmark_returns.name = \"SPY\"\n",
    "benchmark_returns = benchmark_returns.tz_localize(\"UTC\").filter(returns.index)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2f0bd588",
   "metadata": {},
   "source": [
    "Plot the rolling returns compared to the benchmark"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "1fd276da",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: ylabel='Cumulative returns'>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pf.plotting.plot_rolling_returns(returns, factor_returns=benchmark_returns)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e853cb5e",
   "metadata": {},
   "source": [
    "Plot the performance statistics"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "5b8cac8b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pf.plotting.plot_perf_stats(\n",
    "    returns=returns,\n",
    "    factor_returns=benchmark_returns,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9047dd04",
   "metadata": {},
   "source": [
    "Show the performance statistics with additional metrics"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "c39ea52c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\"><th>Start date</th><td colspan=4>2016-01-04</td></tr>\n",
       "    <tr style=\"text-align: right;\"><th>End date</th><td colspan=4>2017-12-29</td></tr>\n",
       "    <tr style=\"text-align: right;\"><th>In-sample months</th><td colspan=4>12</td></tr>\n",
       "    <tr style=\"text-align: right;\"><th>Out-of-sample months</th><td colspan=4>11</td></tr>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>In-sample</th>\n",
       "      <th>Out-of-sample</th>\n",
       "      <th>All</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Annual return</th>\n",
       "      <td>-0.005%</td>\n",
       "      <td>0.926%</td>\n",
       "      <td>0.459%</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Cumulative returns</th>\n",
       "      <td>-0.005%</td>\n",
       "      <td>0.922%</td>\n",
       "      <td>0.918%</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Annual volatility</th>\n",
       "      <td>1.711%</td>\n",
       "      <td>1.302%</td>\n",
       "      <td>1.519%</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Sharpe ratio</th>\n",
       "      <td>0.01</td>\n",
       "      <td>0.71</td>\n",
       "      <td>0.31</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Calmar ratio</th>\n",
       "      <td>-0.00</td>\n",
       "      <td>0.95</td>\n",
       "      <td>0.33</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Stability</th>\n",
       "      <td>0.03</td>\n",
       "      <td>0.69</td>\n",
       "      <td>0.63</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Max drawdown</th>\n",
       "      <td>-1.374%</td>\n",
       "      <td>-0.98%</td>\n",
       "      <td>-1.374%</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Omega ratio</th>\n",
       "      <td>1.00</td>\n",
       "      <td>1.15</td>\n",
       "      <td>1.07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Sortino ratio</th>\n",
       "      <td>0.01</td>\n",
       "      <td>0.97</td>\n",
       "      <td>0.40</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Skew</th>\n",
       "      <td>-3.62</td>\n",
       "      <td>-1.03</td>\n",
       "      <td>-2.92</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Kurtosis</th>\n",
       "      <td>42.22</td>\n",
       "      <td>7.57</td>\n",
       "      <td>36.28</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Tail ratio</th>\n",
       "      <td>0.98</td>\n",
       "      <td>1.28</td>\n",
       "      <td>1.04</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Daily value at risk</th>\n",
       "      <td>-0.215%</td>\n",
       "      <td>-0.16%</td>\n",
       "      <td>-0.19%</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Gross leverage</th>\n",
       "      <td>0.06</td>\n",
       "      <td>0.11</td>\n",
       "      <td>0.09</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Daily turnover</th>\n",
       "      <td>23.295%</td>\n",
       "      <td>25.598%</td>\n",
       "      <td>24.355%</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Alpha</th>\n",
       "      <td>-0.00</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Beta</th>\n",
       "      <td>0.03</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.02</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pf.plotting.show_perf_stats(\n",
    "    returns,\n",
    "    factor_returns=benchmark_returns,\n",
    "    positions=positions,\n",
    "    transactions=transactions,\n",
    "    turnover_denom=\"AGB\",\n",
    "    live_start_date=\"2017-01-01\",\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "eb82f4b0",
   "metadata": {},
   "source": [
    "Plot the monthly returns heatmap"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "fb1c2a12",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: title={'center': 'Monthly returns (%)'}, xlabel='Month', ylabel='Year'>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pf.plotting.plot_monthly_returns_heatmap(returns)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1af029a5",
   "metadata": {},
   "source": [
    "Plot the annual returns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "ae6648eb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: title={'center': 'Annual returns'}, xlabel='Returns', ylabel='Year'>"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pf.plotting.plot_annual_returns(returns)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "56967359",
   "metadata": {},
   "source": [
    "Plot the monthly returns distribution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "dc5a19e7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: title={'center': 'Distribution of monthly returns'}, xlabel='Returns', ylabel='Number of months'>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pf.plotting.plot_monthly_returns_dist(returns)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "522cd973",
   "metadata": {},
   "source": [
    "Plot the returns with a live start date"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "db1379de",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: ylabel='Returns'>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pf.plotting.plot_returns(returns, live_start_date=\"2017-01-01\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "472875ee",
   "metadata": {},
   "source": [
    "Plot the return quantiles with a live start date"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "63393b17",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: title={'center': 'Return quantiles'}>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pf.plotting.plot_return_quantiles(returns, live_start_date=\"2017-01-01\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "10c99bf9",
   "metadata": {},
   "source": [
    "**Jason Strimpel** is the founder of <a href='https://pyquantnews.com/'>PyQuant News</a> and co-founder of <a href='https://www.tradeblotter.io/'>Trade Blotter</a>. His career in algorithmic trading spans 20+ years. He previously traded for a Chicago-based hedge fund, was a risk manager at JPMorgan, and managed production risk technology for an energy derivatives trading firm in London. In Singapore, he served as APAC CIO for an agricultural trading firm and built the data science team for a global metals trading firm. Jason holds degrees in Finance and Economics and a Master's in Quantitative Finance from the Illinois Institute of Technology. His career spans America, Europe, and Asia. He shares his expertise through the <a href='https://pyquantnews.com/subscribe-to-the-pyquant-newsletter/'>PyQuant Newsletter</a>, social media, and has taught over 1,000+ algorithmic trading with Python in his popular course **<a href='https://gettingstartedwithpythonforquantfinance.com/'>Getting Started With Python for Quant Finance</a>**. All code is for educational purposes only. Nothing provided here is financial advise. Use at your own risk."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "7a2eab52-25ba-414f-b177-7b88ac134fe3",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "jupytext": {
   "cell_metadata_filter": "-all",
   "main_language": "python",
   "notebook_metadata_filter": "-all"
  },
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
